DASH Users - Statistics

For using this script, first it is needed to download the dash dataset at link. After use the python script convert-json-to-csv.py to convert the dataset to csv. This script will use the csv file as an input and will produce statistics regarding the dataset.

# Libraries, initialization and settings
library("plyr")
library("foreach")
library("ggplot2")
options(scipen = 100)
bps_to_kbps = 1024
bps_to_mbps = 1048576
parallel = TRUE
max_users = 1000  # maximum number of users returned
# script will take the max_users that have most samples and meet the
# criteria
min_samples = 100  # minimum ammount of samples a user should have, less than that user will be discarted
criteria_bw_kbps = 8000  # limit of the criterias

# Load the csv input files
path = "/Users/karine/phd/data/dash-users/neubot-parsed/"

f = paste(path, "201311-201401.csv", sep = "")
if (file.exists(f)) {
    da = read.csv(f)
} else {
    # Load the csv input files
    files = c("201311.csv", "201312.csv", "201401.csv")
    d = data.frame()
    for (file in files) {
        ft = paste(path, file, sep = "")
        t = read.csv(ft)
        d = rbind(d, t)
    }

    # Remove initial points (adaptation of dash)
    da = d[d$client_iteration > 4, ]
    write.csv(da, f, quote = FALSE, row.names = FALSE)
    d = NULL
}

# Calculate the bandwidth throughput based on bytes received and time
# elapsed
da$bw = da$client_received/da$client_elapsed  # bytes per second
da$bw_bits = da$bw * 8  # bits per second
da$bw_mpbs = da$bw_bits/bps_to_mbps

# Create new user id based on ip + uuid
da$ipuserid = paste(da$client_real_address, "-", da$client_uuid, sep = "")

Number of clients connected over time:


time_users = unique(da[, c("srvr_timestamp", "client_uuid")])
initial_timestamp = min(time_users$srvr_timestamp)
time_users$seconds = time_users$srvr_timestamp - initial_timestamp
(z <- Sys.time())

## [1] "2014-05-02 17:45:55 CEST"

d_users_timeline = ddply(time_users, ~seconds, summarize, .parallel = parallel, 
    users_count = length(client_uuid))

## Warning: No parallel backend registered
## Warning: executing %dopar% sequentially: no parallel backend registered

(z <- Sys.time())

## [1] "2014-05-02 23:25:39 CEST"


plot(qplot(x = d_users_timeline$seconds, y = d_users_timeline$users_count, xlab = "time (seconds)", 
    ylab = "#users"))

plot of chunk unnamed-chunk-1 


time_users$hour = as.integer(time_users$seconds/3600)
d_users_timeline = ddply(time_users, ~hour, summarize, .parallel = parallel, 
    users_count = length(client_uuid))

## Warning: No parallel backend registered


plot(qplot(x = d_users_timeline$hour, y = d_users_timeline$users_count, xlab = "time (hours)", 
    ylab = "#users"))

plot of chunk unnamed-chunk-1

Users cdf (ip+uuid) by number os measures:


f = paste(path, "user-statistics.csv", sep = "")
if (file.exists(f)) {
    du = read.csv(f)
} else {
    # Calculate the number of samples, average and 75% of all users
    (z <- Sys.time())
    du = ddply(da, ~ipuserid, summarize, .parallel = parallel, samples = length(ipuserid), 
        min = min(bw_bits), mean = mean(bw_bits), median = median(bw_bits), 
        max = max(bw_bits), stdv = sd(bw_bits), percentile75 = quantile(bw_bits, 
            0.75))
    (z <- Sys.time())
    write.csv(du, fu, quote = FALSE, row.names = FALSE)
}

plot(qplot(du$samples, stat = "ecdf", geom = "step", xlab = "# measures", ylab = "users"))

plot of chunk users_cdf_by_measures

Users with most samples and average < criteria:


criteria_bw_bps = criteria_bw_kbps * bps_to_kbps

# Users that meet average criteria and samples
du_avg = du[du$mean < criteria_bw_bps & du$samples >= min_samples, ]  # & !(du$client_uuid %in% black_list_users) not needed since the bw criteria will cut this users
du_avg = du_avg[order(-du_avg$samples), ]  # order by the number of samples
# If we have more than needed we take only max_users with more samples
if (length(du_avg$ipuserid) > max_users) {
    du_avg = du_avg[1:max_users, ]
}

for (user_index in 1:length(du_avg$ipuserid)) {
    d1u = da[da$ipuserid == as.character(du_avg$ipuserid[user_index]), ]
    plot(qplot(d1u$bw_mpbs, stat = "ecdf", geom = "step", xlab = "bandwidth (Mbps)", 
        ylab = "samples"))
}

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unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2 plot of chunk unnamed-chunk-2

Users with most samples and 75% percentile < criteria:


# Users that meet percentile criteria and samples
du_perc = du[du$percentile75 < criteria_bw_bps & du$samples >= min_samples, 
    ]
du_perc = du_perc[order(-du_perc$samples), ]  # order by the number of samples
# If we have more than needed we take only max_users with more samples
if (length(du_perc$ipuserid) > max_users) {
    du_perc = du_perc[1:max_users, ]
}
for (user_index in 1:length(du_perc$ipuserid)) {
    d1u = da[da$ipuserid == as.character(du_perc$ipuserid[user_index]), ]
    plot(qplot(d1u$bw_mpbs, stat = "ecdf", geom = "step", xlab = "bandwidth (Mbps)", 
        ylab = "samples"))
}

plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk 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